8148

Properties

Appears in sequences

• Numbers whose sum of divisors is a cube.at n=42A020477
• Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 60.at n=24A031558
• Number of partitions of n into parts not of form 4k+2, 20k, 20k+7 or 20k-7. Also number of partitions in which no odd part is repeated, with at most 3 parts of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=47A036027
• Number of isolated-pentagon (IPR) fullerenes with 2n vertices (or carbon atoms).at n=29A046880
• Number of partitions of n in SPM(n): these are the partitions obtained from (n) by iteration of the following transformation: p -> p' if p' is a partition (i.e., decreasing) and p' is obtained from p by removing a unit from the i-th component of p and adding one to the (i+1)-th component, for any i.at n=43A056219
• Geometric mean of the digits = 4. In other words, the product of the digits is = 4^k where k is the number of digits.at n=33A061428
• Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.at n=11A063058
• Infinite lower triangular matrix, M, that satisfies [M^2](i,j) = M(i+1,j+1) for all i,j>=0 where [M^n](i,j) denotes the element at row i, column j, of the n-th power of matrix M, with M(0,k)=1 and M(k,k)=1 for all k>=0.at n=30A078121
• Piet Hut's "coat-hanger" sequence: unlabeled forests of rooted trees with n edges, where there can be any number of components, the outdegree of each node is <= 2 and the symmetric group acts on the components.at n=13A088325
• G.f.: 1/((1-x)^2*(1-x^2)*(1-x^4)*(1-x^8)*(1-x^16)).at n=48A088954
• a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 74.at n=2A093274
• Expansion of (1-x+x^2)/((1+x^2)(1-4x+x^2)).at n=7A099489
• In the interior of a regular 2n-gon with all diagonals drawn, the number of points where exactly three diagonals intersect.at n=19A101363
• Multiples of 14 containing a 14 in their decimal representation.at n=25A121034
• Rectangular table where column k equals row sums of matrix power A078121^k, read by antidiagonals.at n=39A125790
• Column 3 of table A125790; also equals row sums of matrix power A078121^3.at n=5A125793
• a(n) = Sum_{k=1..n} k*sigma(k).at n=23A143128
• a(n) = n*(n^2 + 3*n + 5)/3.at n=28A145069
• Numerators of coefficients of series expansion of 1/(Bernoulli trial entropy), scaled to denominators A091137.at n=23A145178
• Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 5 X 5 X 5 subtriangle summing to 11.at n=26A154084